What is the answer to -4=2-sqrt(y^2-4y+15) ?

The answer to -4=2-sqrt(y^2-4y+15) is y=7,y=-3

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-4=2-sqrt(y^2-4y+15)

- 4 = 2 - y^{2} - 4 y + 15

y = 7, y = - 3

Solution steps

- 4 = 2 - y^{2} - 4 y + 15

Move

y^{2} - 4 y + 15

to the left side

- 4 + y^{2} - 4 y + 15 = 2

Move

4

to the right side

y^{2} - 4 y + 15 = 6

Square both sides:

y^{2} - 4 y + 15 = 36

y^{2} - 4 y + 15 = 36

Solve

y^{2} - 4 y + 15 = 36 : y = 7, y = - 3

y = 7, y = - 3

Verify Solutions:

y = 7

True

, y = - 3

True

The solutions are

y = 7, y = - 3

t, x = t^{2} + 1

- 4 x - 1 + - 2 x - 1 = 1

x + x + 1 = 5

29.5 = a^{\frac{3}{2}}

What is the answer to -4=2-sqrt(y^2-4y+15) ?
The answer to -4=2-sqrt(y^2-4y+15) is y=7,y=-3
Solve for y: -4=2-sqrt(y^2-4y+15)
The solution is y=7,y=-3